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Classification of (1, 2)-Grassmann secant defective threefolds

  • Luca Chiantini EMAIL logo and Filip Cools
Published/Copyright: April 13, 2010
Forum Mathematicum
From the journal Volume 23 Issue 1

Abstract

In this paper, we classify all smooth threefolds , for which the Grassmann secant variety G1,2(X) ⊂ 𝔾(1, N) (i.e. the closure of the set of lines contained in the span of 3 independent points of X) has not the expected dimension.

Received: 2008-04-15
Revised: 2009-03-23
Published Online: 2010-04-13
Published in Print: 2011-January

© de Gruyter 2011

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